You had $23 to spend on six avocados after buying them you had $5 how much did each avocado cost.

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

A

Step-by-step explanation:

A= 125

Step-by-step explanation:

in a triangle all angles add up to 180

Do 180-55= 125

hope this helps :)

Answer:

213\(\frac{2}{3}\) miles

Step-by-step explanation:

Create an equation and solve for x, where x is the number of miles she can drive

Since 15 cents are charged for every mile, 0.15x can represent the cost from driving. 17.95 will be added to this to represent the base fee.

Then, this will be set equal to 50, since Laura only has $50 to spend

0.15x + 17.95 = 50

0.15x = 32.05

x = 213\(\frac{2}{3}\)

So, Laura can drive a maximum of 213\(\frac{2}{3}\) miles

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

R1 = 150 in = 12.5 ft

R2 = 170 in = 14.167 ft

H = 220 in = 18.333 ft

Volume of solid cylinder = Pi * R^2 * H

So the volume of a hollow cylinder must be V = Pi * H * (R2^2 - R1^2)

V = 3.142 * 18.33 * (14.17^2 - 12.5^2) = 2565 ft^3

.

Answer:

the other number would be - 18.

-18 + 6 = -12

Answer:

See below for all information

Step-by-step explanation:

Given Information

Null and Alternate Hypotheses

Determine z-statistic

\(\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606\)

Determine p-value from z-statistic

\(2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751\)

Draw conclusion of p-value based on given significance level

Since \(p > 0.05\), we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer:

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Step-by-step explanation:

Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:

y = (3/6)x - (18/6), or

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

poster confirmed : "It’s t=2.18 and t=0.57"

The equation which can be used to represent the total tolls Stephanie will pay is y = 1.35x

let

y = 1.35x

If the number of 3½ miles on the route is 5

Then, the total toll paid is

y = 1.35x

= 1.35(5)

= $6.75

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Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the height of the ball after t seconds, hence:

h(t) = 4 + 30t - 16t²

The maximum height is at h'(t) = 0, hence:

h'(t) = 30 - 32t

-32t + 30 = 0

t = 0.9375 s

h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

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Answer:

Step-by-step explanation:

let   5x - 2y = 10             ........... (1)

and 7x - 3y = 13             ............(2)

now multiply equation (1) by 3 and equation (2) by 2, we get,

 15x - 6y = 30             ............(3)

 14x - 6y = 26             ............(4)

after substracting  equation (3) and (4) we get,

  x = 4

after putting the value of x in eq (3) we get,

    15 * 4 - 6y = 30

=> 60 - 6y =30

=>     y =  -30/ -6

=>     y = 5

so, the vale of x and y is 4 and 5 respectively.

E'

F and O

Because the special is fish and the number is odd, the selection is an example of F and O. Since the selection is not odd, it is an element of E′ (remember that E′ is the complement of E). Therefore, it is also an example of C AND O, and E′.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, the probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

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Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Step-by-step explanation:

If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6

5/6=0.8333

Multiple Answers

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Answer: D.rotation 270 counterclockwise about the origin

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

vfmjj vdzaazb knkuvggb

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer:

n = 36

Step-by-step explanation:

18 = n - 18

add 18 to both sides

36 = n

n = 36

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

36

Step-by-step explanation:

18 + 18 = 36

36 - 18 = 18

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The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

Rotation

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

After factoring the given expression \(12y^2-17y-5\), we get (4y+1)(3y-5).

The breakdown of a thing into a product of other objects, or factors, which when multiplied together provide the original, is known as factorization or factoring in mathematics. Factorization can be done using middle term splitting method in which the middle term of the expression is broken down to factor.

Factoring the given expression by splitting the middle term -17y to -3y and 20y as product of 12 and 5 is 60 and also the product of 3 and 20 is 60.

\(12y^2-17y-5=12y^2+3y-20y-5\\=3y(4y+1)-5(4y+1)\\\)

Now, factoring out \((4y+1)\),

\(=(4y+1)(3y-5)\)

Therefore, After factoring the given expression, we get \((4y+1)(3y-5)\).

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Answer:

It would take him 75 minutes or one hour and 15 minutes

Step-by-step explanation:

[] We can set up a ratio and then cross multiply to find our answer

   -> Let x be the minutes it takes him to run 10 miles

[] First, we will set up an equation

   -> Keeping in mind that miles must be either on the top or the bottom, same goes for minutes, as units must be kept consistent.

\(\frac{4miles}{30minutes} =\frac{10miles}{x}\)

[] Then, we will cross multiply

4x = 300

   -> Divide both sides of the equation by 4

x = 75 minutes

Have a nice day!

Note: I know this is a very late answer. I just answered this problem elsewhere, and your question popped up as recommended.

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Y=7x+3

Step-by-step explanation: